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kkurt [141]
3 years ago
10

A lawn is in the shape of a right triangle with a perimeter of 215 feet. The lengths of the sides of the triangle are each multi

plied by 7. What is the perimeter of the new triangle?
A. 1505 ft.
B. 6100 ft.
C. 7120 ft.
D. 8640 ft.
Mathematics
1 answer:
Illusion [34]3 years ago
5 0

Perimeter of the new triangle is 1505 ft

Step-by-step explanation:

  • Step 1: Given the perimeter of the right triangle = 215 ft. Find new perimeter.

Perimeter of the triangle = sum of the sides = a + b + c

Each side is multiplied by 7, so new sides are 7a, 7b, 7c

⇒ New perimeter = 7a + 7b + 7c = 7(a + b + c) = 7 × 215 = 1505 ft

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Which equation is the inverse of y=x^2-36
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Thirteen students entered the business program at Sante Fe College 2 years ago. The following table indicates what each student
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Answer:

y=1.003009+0.003453x

or

GPA=1.003009+0.003453(SAT Score)

Step-by-step explanation:

The least square regression equation can be written as

y=a+bx

In the given scenario y is the GPA and x is SAT score because GPA depends on SAT score.

SAT score (X) GPA (Y) X²         XY

421           2.93 177241 1233.53

375          2.87         140625 1076.25

585          3.03 342225 1772.55

693          3.42  480249 2370.06

608          3.66 369664 2225.28

392          2.91  153664 1140.72

418           2.12  174724 886.16

484          2.5    234256 1210

725             3.24  525625  2349

506          1.97   256036 996.82

613           2.73  375769 1673.49

706          3.88 498436 2739.28

366           1.58  133956 578.28

sumx=6892

sumy=36.84

sumx²=3862470

sumxy=20251.42

n=13

b=\frac{(nsumxy)-(sumx)(sumy)}{nsumx^{2}-(sumx)^{2}  }

b=9367.18/2712446

b=0.003453

a=ybar-b(xbar)

ybar=sum(y)/n

ybar=2.833846

xbar=sum(x)/n

xbar=530.1538

a=2.833846-0.003453*(530.1538)

a=1.003009

Thus, required regression equation is

y=1.003009+0.003453x.

The​ least-squares regression equation that shows the best relationship between GPA and the SAT score is

GPA=1.003009+0.003453(SAT Score)

7 0
4 years ago
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